Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 167-173

  Huang, Weizhang ^a   Tang, Tao ^b  

^a UNIVERSITY OF KANSAS   (United States)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FLOW PATTERNS; GEOMETRY; REYNOLDS NUMBER; STEADY FLOW; TWO DIMENSIONAL; VISCOUS FLOW;

CIRCULAR GEOMETRY; PSEUDOSPECTRAL SOLUTION;

NAVIER STOKES EQUATIONS;

EID: 0034190263     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00080-X     Document Type: Article

References (12)

1. G.B. Batchelor, On steady laminar flow with closed streamlines at large Reynolds number, J. Fluid Mech. 1 (1956) 177-190.
2. C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin/Heidelberg, 1988.
3. S.C.R. Dennis, In: Proc. 4th Int. Conf. on Numer. Methods in Fluid Dyn., Lecture Notes in Physics, Vol. 35, Springer-Verlag, New York/Berlin, 1975, p. 138.
4. S.C.R. Dennis, M. Ng, P. Nguyen, Numerical solution for the steady motion of a viscous fluid inside a circular boundary using integral conditions, J. Comput. Phys. 108 (1993) 142-152.
5. B. Fornberg, Steady viscous flow past a sphere at high Reynolds numbers, J. Fluid Mech. 190 (1991) 471-489.
6. W.-Z. Huang, D.M. Sloan, Pole condition for singular problems: The pseudospectral approximation, J. Comput. Phys. 107 (1993) 254-261.
7. W.-Z. Huang, D.M. Sloan, A new pseudospectral method with upwind features, IMA J. Numer. Anal. 13 (1993) 413-430.
8. A. Karageorghis, T. Tang, A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries, Comput. Fluids 25 (1996) 541-549.
9. K. Kuwahara, I. Imai, Phys. Fluids Suppl. 12, II (1969) 94.
10. R.D. Mills, Computing internal viscous flow problems for the circle by integral methods, J. Fluid Mech. 79 (1977) 609-624.
11. L. Rayleigh, Phil. Mag. 5 (1893) 354.
12. C.M. Wang, J.C. Wu, Numerical solution of steady Navier-Stokes problems using integral representations, AIAA J. 24 (1986) 1305-1312.